{"batchcomplete":"","continue":{"lecontinue":"20260924125409|5582","continue":"-||"},"query":{"logevents":[{"logid":5592,"ns":6,"title":"File:Two-body-problem.ggb","pageid":3542,"logpage":3542,"revid":7875,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T15:01:52Z","comment":""},{"logid":5591,"ns":120,"title":"Item:Q1786","pageid":3541,"logpage":3541,"revid":7872,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T15:01:52Z","comment":"Created the image item for Two-body-problem"},{"logid":5590,"ns":6,"title":"File:Two-body-problem.ggb","pageid":3542,"logpage":3542,"revid":7875,"params":{"img_sha1":"bh6yhaxsti38o2fr25utrb08mtr802f","img_timestamp":"2026-09-24T15:01:52Z"},"type":"upload","action":"upload","user":"Rongzhou","timestamp":"2026-09-24T15:01:52Z","comment":""},{"logid":5589,"ns":0,"title":"Two body problem","pageid":3540,"logpage":3540,"revid":7871,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T14:41:17Z","comment":"Created page with \"In [[astronomy]], two body problems normally refer to the study of the gravitational interaction of two celestial objects.  == Classic form: planetary/satellite orbit (point mass approximation) ==  Approximate a star/planet as point mass $M$, and a planet/satellite orbiting around it as point mass $m$.  The orbit of the planet in the reference frame of the star satisfies the equation:  {{#content:Q1785}}  Where $\\mu=G(M+m)$.   === Derivation ===  Let  $$ \\mathbf{r}=\\math...\""},{"logid":5588,"ns":120,"title":"Item:Q1785","pageid":3539,"logpage":3539,"revid":7869,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T14:35:31Z","comment":"Added content item: Planetary orbit"},{"logid":5587,"ns":0,"title":"Gravitational potential energy","pageid":3538,"logpage":3538,"revid":7868,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T13:42:55Z","comment":"Created page with \"Gravitational potential energy, commonly noted $U$, refers to the energy incorporated in a system as a result of the gravitational attraction between its elements.  == Zero reference point ==  Generally, we define the zero reference point:  {{#content:Q1779}}  Since there is no gravitational interaction when objects are at an infinite distance from each other.  Then, the gravitational potential energy of a system measures the amount of work done by gravitational forces t...\""},{"logid":5586,"ns":120,"title":"Item:Q1784","pageid":3537,"logpage":3537,"revid":7866,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T13:40:52Z","comment":"Added content item: Gravitational potential energy and gravitational potential"},{"logid":5585,"ns":120,"title":"Item:Q1783","pageid":3536,"logpage":3536,"revid":7863,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T13:22:00Z","comment":"Added content item: Gravitational potential energy of continuous mass distribution"},{"logid":5584,"ns":120,"title":"Item:Q1782","pageid":3535,"logpage":3535,"revid":7861,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T13:12:53Z","comment":"Added content item: Gravitational potential energy between a point mass and a system of many point masses"},{"logid":5583,"ns":120,"title":"Item:Q1781","pageid":3534,"logpage":3534,"revid":7859,"params":{},"type":"create","action":"create","user":"Rongzhou","timestamp":"2026-09-24T12:59:17Z","comment":"Added content item: Gravitational potential energy between many point masses"}]}}